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Finding the Fourth Proportional to 10,438.76, 15,658.22 and 3,513.16

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Solution

The fourth proportional to 10,438.76, 15,658.22 and 3,513.16 is: 5,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.76 : 15,658.22 = 3,513.16 : x
  2. Step 2: Convert to fraction form
    10,438.76/15,658.22 = 3,513.16/x
  3. Step 3: Cross multiply
    10,438.76x = 15,658.22 × 3,513.16
  4. Step 4: Simplify right side
    10,438.76x = 55,009,832.18
  5. Step 5: Solve for x
    x = 55,009,832.18/10,438.76
  6. Step 6: Final answer
    x = 5,269.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.